Full-Vector Finite Difference Mode Solver for Whispering-Gallery Resonators

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dc.contributor.authorVincent, Serge M.
dc.contributor.supervisorLu, Tao
dc.date.accessioned2015-08-31T21:31:43Z
dc.date.available2015-08-31T21:31:43Z
dc.date.copyright2015en_US
dc.date.issued2015-08-31
dc.degree.departmentDepartment of Electrical and Computer Engineering
dc.degree.levelMaster of Applied Science M.A.Sc.en_US
dc.description.abstractOptical whispering-gallery mode (WGM) cavities, which exhibit extraordinary spatial and temporal confinement of light, are one of the leading transducers for examining molecular recognition at low particle counts. With the advent of hybrid photonic-plasmonic and increasingly sophisticated forms of these resonators, the importance of supporting numerical methods has correspondingly become evident. In response, we adopt a full-vector finite difference approximation in order to solve for WGM's in terms of their field distributions, resonant wavelengths, and quality factors in the context of naturally discontinuous permittivity structure. A segmented Taylor series and alignment/rotation operator are utilized at such singularities in conjunction with arbitrarily spaced grid points. Simulations for microtoroids, with and without dielectric nanobeads, and plasmonic microdisks are demonstrated for short computation times and shown to be in agreement with data in the literature. Constricted surface plasmon polariton (SPP) WGM's are also featured within this document. The module of this thesis is devised as a keystone for composite WGM models that may guide experiments in the field.en_US
dc.description.scholarlevelGraduateen_US
dc.identifier.urihttp://hdl.handle.net/1828/6630
dc.languageEnglisheng
dc.language.isoenen_US
dc.rightsAvailable to the World Wide Weben_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.5/ca/*
dc.subjectWhispering-Gallery Modesen_US
dc.subjectComputational Electromagneticsen_US
dc.subjectFinite Difference Methoden_US
dc.subjectNanophotonicsen_US
dc.subjectOptical Resonator Physicsen_US
dc.subjectSurface Plasmon Resonanceen_US
dc.subjectBiosensingen_US
dc.titleFull-Vector Finite Difference Mode Solver for Whispering-Gallery Resonatorsen_US
dc.typeThesisen_US

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